Cremona's table of elliptic curves

53280 = 2⁵ · 3² · 5 · 37

Class	r	Atkin-Lehner	Eigenvalues
53280a (2 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  0  4 -2 -6 -2
Curve Equation t Generators 53280a1 [0,0,0,-4293,-232092] 2 [4859246:-204340625:2744] 53280a2 [0,0,0,-88668,-10154592] 2 [7084:595700:1]
53280b (2 curves)	1	2+ 3+ 5+ 37+	2+ 3+ 5+  0 -6  2  2 -4
Curve Equation t Generators 53280b1 [0,0,0,27,-28] 2 [4:12:1] 53280b2 [0,0,0,-123,-238] 2 [14:28:1]
53280c (2 curves)	0	2+ 3+ 5+ 37-	2+ 3+ 5+  4  4  2 -6  4
Curve Equation t 53280c1 [0,0,0,567,8532] 2 53280c2 [0,0,0,-4428,92448] 2
53280d (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+  5  1  1  7  1
Curve Equation t 53280d1 [0,0,0,-8883,323082] 1
53280e (1 curve)	0	2+ 3+ 5+ 37-	2+ 3+ 5+ -5 -1  1  7 -1
Curve Equation t 53280e1 [0,0,0,-8883,-323082] 1
53280f (2 curves)	0	2+ 3+ 5- 37+	2+ 3+ 5-  0  4 -2  6  2
Curve Equation t 53280f1 [0,0,0,-477,-8596] 2 53280f2 [0,0,0,-9852,-376096] 2
53280g (2 curves)	0	2+ 3+ 5- 37+	2+ 3+ 5-  0 -6  2 -2  4
Curve Equation t 53280g1 [0,0,0,243,-756] 2 53280g2 [0,0,0,-1107,-6426] 2
53280h (2 curves)	1	2+ 3+ 5- 37-	2+ 3+ 5- -4  4  2  6 -4
Curve Equation t Generators 53280h1 [0,0,0,63,316] 2 [-3:10:1] 53280h2 [0,0,0,-492,3424] 2 [-22:60:1]
53280i (2 curves)	0	2+ 3- 5+ 37+	2+ 3- 5+  0  0  2  2  2
Curve Equation t 53280i1 [0,0,0,-8913,227612] 2 53280i2 [0,0,0,23892,1513568] 2
53280j (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+  1  1 -2  2  0
Curve Equation t 53280j1 [0,0,0,-6168,-175408] 1
53280k (1 curve)	2	2+ 3- 5+ 37+	2+ 3- 5+ -1 -1 -2  2  0
Curve Equation t Generators 53280k1 [0,0,0,-6168,175408] 1 [36:4:1]&[84:-500:1]
53280l (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+ -3 -3  2  2  8
Curve Equation t 53280l1 [0,0,0,-19848,-1076272] 1
53280m (1 curve)	0	2+ 3- 5+ 37+	2+ 3- 5+ -3 -3  2 -3 -2
Curve Equation t 53280m1 [0,0,0,-37803,4574338] 1
53280n (1 curve)	1	2+ 3- 5+ 37-	2+ 3- 5+ -2 -6 -5 -4 -4
Curve Equation t Generators 53280n1 [0,0,0,312,-88112] 1 [56:324:1]
53280o (4 curves)	1	2+ 3- 5+ 37-	2+ 3- 5+ -4 -4 -2  2  0
Curve Equation t Generators 53280o1 [0,0,0,-16653,826652] 4 [1:900:1] 53280o2 [0,0,0,-13323,1166978] 2 [178:2106:1] 53280o3 [0,0,0,-20028,467552] 2 [181:1665:1] 53280o4 [0,0,0,-266403,52924502] 4 [334:1098:1]
53280p (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5-  2  2  1 -4  0
Curve Equation t Generators 53280p1 [0,0,0,-145272,21625936] 1 [632:13500:1]
53280q (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5- -2 -2  1 -4  0
Curve Equation t Generators 53280q1 [0,0,0,-145272,-21625936] 1 [868:-22500:1]
53280r (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5- -3  1 -2  6 -4
Curve Equation t Generators 53280r1 [0,0,0,-552,4304] 1 [8:20:1]
53280s (1 curve)	1	2+ 3- 5- 37+	2+ 3- 5- -3  1  4  3  2
Curve Equation t Generators 53280s1 [0,0,0,278133,38641826] 1 [142:9000:1]
53280t (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5- -1  1  6  5  6
Curve Equation t 53280t1 [0,0,0,-7707,-300494] 1
53280u (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5-  2  2  3  4  4
Curve Equation t 53280u1 [0,0,0,-164712,26390864] 1
53280v (1 curve)	0	2+ 3- 5- 37-	2+ 3- 5-  5 -5 -4 -3  2
Curve Equation t 53280v1 [0,0,0,-147,-794] 1
53280w (2 curves)	2	2- 3+ 5+ 37+	2- 3+ 5+  0 -4 -2 -6  2
Curve Equation t Generators 53280w1 [0,0,0,-4293,232092] 2 [-57:540:1]&[24:378:1] 53280w2 [0,0,0,-88668,10154592] 2 [94:1628:1]&[141:675:1]
53280x (2 curves)	0	2- 3+ 5+ 37+	2- 3+ 5+  0  6  2  2  4
Curve Equation t 53280x1 [0,0,0,27,28] 2 53280x2 [0,0,0,-123,238] 2
53280y (2 curves)	1	2- 3+ 5+ 37-	2- 3+ 5+ -4 -4  2 -6 -4
Curve Equation t Generators 53280y1 [0,0,0,567,-8532] 2 [39:270:1] 53280y2 [0,0,0,-4428,-92448] 2 [-51:27:1]
53280z (2 curves)	1	2- 3+ 5- 37+	2- 3+ 5-  0 -4 -2  6 -2
Curve Equation t Generators 53280z1 [0,0,0,-477,8596] 2 [-3:100:1] 53280z2 [0,0,0,-9852,376096] 2 [-18:740:1]
53280ba (2 curves)	1	2- 3+ 5- 37+	2- 3+ 5-  0  6  2 -2 -4
Curve Equation t Generators 53280ba1 [0,0,0,243,756] 2 [240:3726:1] 53280ba2 [0,0,0,-1107,6426] 2 [6510:100142:27]
53280bb (2 curves)	0	2- 3+ 5- 37-	2- 3+ 5-  4 -4  2  6  4
Curve Equation t 53280bb1 [0,0,0,63,-316] 2 53280bb2 [0,0,0,-492,-3424] 2
53280bc (1 curve)	0	2- 3+ 5- 37-	2- 3+ 5-  5 -1  1 -7  1
Curve Equation t 53280bc1 [0,0,0,-987,-11966] 1
53280bd (1 curve)	2	2- 3+ 5- 37-	2- 3+ 5- -5  1  1 -7 -1
Curve Equation t Generators 53280bd1 [0,0,0,-987,11966] 1 [-23:150:1]&[17:-10:1]
53280be (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  0  0  2  2 -2
Curve Equation t Generators 53280be1 [0,0,0,-8913,-227612] 2 [119:630:1] 53280be2 [0,0,0,23892,-1513568] 2 [1869:81067:1]
53280bf (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  1  5 -2 -2  0
Curve Equation t Generators 53280bf1 [0,0,0,-81888888,285205703312] 1 [378021008:15172836500:50653]
53280bg (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  1  5  3  3 -5
Curve Equation t Generators 53280bg1 [0,0,0,1077,3022] 1 [17:-162:1]
53280bh (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -1 -5 -2 -2  0
Curve Equation t Generators 53280bh1 [0,0,0,-81888888,-285205703312] 1 [-6745319144181:2477154798625:1298596571]
53280bi (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -1 -5  3  3  5
Curve Equation t Generators 53280bi1 [0,0,0,1077,-3022] 1 [34:270:1]
53280bj (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  2  2  1  0 -4
Curve Equation t Generators 53280bj1 [0,0,0,-408,-3728] 1 [44:252:1]
53280bk (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+ -2 -2  1  0  4
Curve Equation t Generators 53280bk1 [0,0,0,-408,3728] 1 [16:36:1]
53280bl (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  3  3  2  2 -8
Curve Equation t Generators 53280bl1 [0,0,0,-19848,1076272] 1 [81:5:1]
53280bm (1 curve)	1	2- 3- 5+ 37+	2- 3- 5+  3  3  2 -3  2
Curve Equation t Generators 53280bm1 [0,0,0,-37803,-4574338] 1 [161557:64936422:1]
53280bn (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+  4  2 -2 -2  6
Curve Equation t Generators 53280bn1 [0,0,0,2247,-2248] 2 [148:1890:1] 53280bn2 [0,0,0,-9003,-17998] 2 [56014:580770:343]
53280bo (2 curves)	1	2- 3- 5+ 37+	2- 3- 5+ -4 -2 -2 -2 -6
Curve Equation t Generators 53280bo1 [0,0,0,2247,2248] 2 [8:144:1] 53280bo2 [0,0,0,-9003,17998] 2 [-79:486:1]
53280bp (1 curve)	0	2- 3- 5+ 37-	2- 3- 5+  2  6 -5 -4  4
Curve Equation t 53280bp1 [0,0,0,312,88112] 1
53280bq (4 curves)	0	2- 3- 5+ 37-	2- 3- 5+  4  4 -2  2  0
Curve Equation t 53280bq1 [0,0,0,-16653,-826652] 4 53280bq2 [0,0,0,-13323,-1166978] 2 53280bq3 [0,0,0,-20028,-467552] 4 53280bq4 [0,0,0,-266403,-52924502] 2
53280br (4 curves)	0	2- 3- 5- 37+	2- 3- 5-  0  0  2 -6  4
Curve Equation t 53280br1 [0,0,0,-64857,5025944] 4 53280br2 [0,0,0,143268,30666944] 2 53280br3 [0,0,0,-334587,-70120834] 2 53280br4 [0,0,0,-976107,371166194] 2
53280bs (4 curves)	0	2- 3- 5- 37+	2- 3- 5-  0  0  2 -6 -4
Curve Equation t 53280bs1 [0,0,0,-64857,-5025944] 4 53280bs2 [0,0,0,143268,-30666944] 2 53280bs3 [0,0,0,-334587,70120834] 2 53280bs4 [0,0,0,-976107,-371166194] 2
53280bt (2 curves)	0	2- 3- 5- 37+	2- 3- 5-  2  4 -2 -2  6
Curve Equation t 53280bt1 [0,0,0,-55497,-5032136] 2 53280bt2 [0,0,0,-55452,-5040704] 2
53280bu (2 curves)	2	2- 3- 5- 37+	2- 3- 5- -2 -4 -2 -2 -6
Curve Equation t Generators 53280bu1 [0,0,0,-55497,5032136] 2 [-188:2970:1]&[137:-20:1] 53280bu2 [0,0,0,-55452,5040704] 2 [-235:2257:1]&[178:900:1]
53280bv (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  3 -1 -2  6  4
Curve Equation t 53280bv1 [0,0,0,-552,-4304] 1
53280bw (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  3 -1  4  3 -2
Curve Equation t 53280bw1 [0,0,0,278133,-38641826] 1
53280bx (1 curve)	0	2- 3- 5- 37+	2- 3- 5-  5  1  7  7  3
Curve Equation t 53280bx1 [0,0,0,375129573,1404204296254] 1
53280by (1 curve)	0	2- 3- 5- 37+	2- 3- 5- -5 -1  7  7 -3
Curve Equation t 53280by1 [0,0,0,375129573,-1404204296254] 1
53280bz (1 curve)	1	2- 3- 5- 37-	2- 3- 5-  1 -1  6  5 -6
Curve Equation t Generators 53280bz1 [0,0,0,-7707,300494] 1 [13:450:1]
53280ca (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -2 -2  3  4 -4
Curve Equation t Generators 53280ca1 [0,0,0,-164712,-26390864] 1 [8300:755244:1]
53280cb (4 curves)	1	2- 3- 5- 37-	2- 3- 5-  4  4 -2  2 -4
Curve Equation t Generators 53280cb1 [0,0,0,-3297,-51136] 4 [4611:56420:27] 53280cb2 [0,0,0,8853,-340306] 4 [10912645730:-146699087067:81746504] 53280cb3 [0,0,0,-19947,1044434] 2 [10816540150:-98427164094:65450827] 53280cb4 [0,0,0,-48252,-4079104] 2 [682:16740:1]
53280cc (4 curves)	1	2- 3- 5- 37-	2- 3- 5- -4 -4 -2  2  4
Curve Equation t Generators 53280cc1 [0,0,0,-3297,51136] 4 [57:220:1] 53280cc2 [0,0,0,8853,340306] 2 [-30:4433:8] 53280cc3 [0,0,0,-19947,-1044434] 2 [390:7106:1] 53280cc4 [0,0,0,-48252,4079104] 4 [-172:2700:1]
53280cd (1 curve)	1	2- 3- 5- 37-	2- 3- 5- -5  5 -4 -3 -2
Curve Equation t Generators 53280cd1 [0,0,0,-147,794] 1 [10:18:1]

Data from Elliptic Curve Data by J. E. Cremona.
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